Consider a floating strike version of an exponential arithmetic Asian call (Problem 14.6) with European exercise right,

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Consider a floating strike version of an exponential arithmetic Asian call (Problem 14.6) with European exercise right, contingent on a forward contract with TF > T. Assume that S0, T, r, σ, and λ are known. Additionally, the option is knocked out, if ST/2 ≤ S̅T/2 holds. Create a pseudo-code algorithm to valuate this contract at time t = 0.


Problem 14.6

A continuously exponential averaged arithmetic Asian option is a contract, where the average price of the underlying is computed as

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The parameter λ ≥ 0 is an arbitrary weight factor. Rewrite the averaging condition in differential form and explain the effect of the parameter ?.

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